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First term of n-th difference sequence of (floor(k*e)), k >= 0.
2

%I #12 Jul 20 2019 22:20:38

%S 2,1,-1,0,3,-9,19,-35,63,-119,238,-483,945,-1715,2793,-3871,3871,0,

%T -14161,52479,-143717,345401,-767977,1613129,-3226258,6148961,

%U -11119031,18874261,-29414651,39955041,-39955041,0,151615947,-575723785,1611404739,-3936821259

%N First term of n-th difference sequence of (floor(k*e)), k >= 0.

%H Clark Kimberling, <a href="/A325734/b325734.txt">Table of n, a(n) for n = 1..200</a>

%t Table[First[Differences[Table[Floor[E*n], {n, 0, 50}], n]], {n, 1, 50}]

%Y Cf. A001113, A003417, A325664. Inverse binomial transform of A022843.

%K easy,sign

%O 1,1

%A _Clark Kimberling_, May 20 2019